Special issue: 22nd colloquium on high-resolution molecular spectroscopy HRMS Dijon 2011 (Part 2) An algebraic description of anharmonic diatom-diatom inelastic collisions in the semiclassical approximation

摘要

An algebraic model to describe inelastic collisions between two anharmonic diatomic molecules in the semiclassical approximation is presented. The interactions for the diatomic systems are modelled in terms of Morse potentials, while an exponential repulsive potential is taken for the interactions between the nearest atoms of the diatomic systems. This problem is treated in the interaction potential framework, where an approximation in terms of the generators of three SU(2) groups is proposed, two corresponding to the Morse oscillators and the other to the interaction. The transition probabilities are given in terms of a sum of the products of three Wigner's d(β) functions corresponding to the three SU(2) groups. As an example the systems N_2+N_2 and H_2+H_2 are described and compared with exact quantum mechanical calculations.